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ChristianKl comments on Open thread, July 21-27, 2014 - Less Wrong Discussion

4 Post author: polymathwannabe 21 July 2014 01:15PM

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Comment author: JQuinton 21 July 2014 09:34:31PM *  2 points [-]

Question about Bayesian updates.

Say Jane goes to get a cancer screening. 5% prior of having cancer, the machine has a success rate of 80% and a false positive rate of 9%. Jane gets a positive on the test and so she now has a ~30% chance of having cancer.

Jane goes to get a second opinion across the country. A second cancer screening (same success/false positive rates) says she doesn't have cancer. What is her probability for having cancer now?

Comment author: ChristianKl 23 July 2014 10:03:24AM 1 point [-]

What does "success rate" mean?

Comment author: polymathwannabe 23 July 2014 12:27:45PM 1 point [-]

Accurately detecting a cancer that does exist.

Comment author: ChristianKl 23 July 2014 12:54:05PM 1 point [-]

The accuracy of a test is generally defined as (Σ True positive + Σ True negative/Σ Total population). That something different then the sensitivity of a test.

I think it's useful to use the terms used in the statistical literature when talking about something like this instead of making up vague one on your own.